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Finding the Fourth Proportional to 98,380, 135,764.88 and 53,668

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Solution

The fourth proportional to 98,380, 135,764.88 and 53,668 is: 74,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,380 : 135,764.88 = 53,668 : x
  2. Step 2: Convert to fraction form
    98,380/135,764.88 = 53,668/x
  3. Step 3: Cross multiply
    98,380x = 135,764.88 × 53,668
  4. Step 4: Simplify right side
    98,380x = 7,286,229,579.84
  5. Step 5: Solve for x
    x = 7,286,229,579.84/98,380
  6. Step 6: Final answer
    x = 74,062.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.